Evaluation of the Performance in DEA-R Models Based on Common Set of Weights

Subject Areas : International Journal of Mathematical Modelling & Computations

Shabnam Razavyan ^{1 *}

1 - Department of Mathematics, Islamic Azad University, South Tehran Branch, Tehran, Iran.

Received: 2024-01-04 Accepted : 2024-03-16 Published : 2024-03-31

Keywords: Data envelopment analysis, Ratio data, Common set of weights, Weight flexibility, Efficiency.,

Abstract :

The ratio data envelopment analysis (DEA-R) model enables the analyst to easily translate some of the significant types of experts’ opinions into weight restrictions, which are not easily modeled with the classical data envelopment analysis models. In fact, the DEA-R model considered a combination of the DEA methodology, and ratio analysis. This paper uses the common set of weights (CSW) method to control the total weight flexibility in the DEA-R and proposes a CSW DEA-R method. The proposed CSW DEA-R method improves the discrimination power of the DEA-R method. It can be used to identify the CSW pseudo-inefficient DMUs in DEA. Then, we compare the proposed CSW DEA-R method with the DEA-R and DEA approaches in the literature; and demonstrate the applicability of the proposed method with an empirical example.

References:

[1] Adler, N., Friedman, L., & Sinuany-Stern, Z. (2002). Review of ranking in the data envelopment analysis context. European Journal of Operational Research, 140(2), 249–265.

[2] Cooper W.W, Seifoerd M. & Tone K. (2007). Data Envelopment Analysis, A Comprehensive Text with Models, Applications, References and DEA-Solver Software Second Edition, Springer.

[3] Despic, O., Despic, M., & Paradi, J. C. (2007). DEA-R: Ratio-based comparative efficiency model, its mathematical relation to DEA and its use in applications. Journal of Productivity Analysis, 28, 33–46.

[4] Roll, Y., Cook, W. D., & Golany, B. (1991). Controlling factor weights in data envelopment analysis. IEEE Transactions, 23(1), 2–9.

[5] Wei, C. K., Chen, L. C., Li, R. K., & Tsai, C. H. (2011a). Using the DEA-R model in the hospital industry to study the pseudo-inefficiency problem. Expert Systems with Applications, 38, 2172–2176.

[6] Wei, C. K., Chen, L. C., Li, R. K., & Tsai, C. H. (2011b). Exploration of efficiency underestimation of CCR model: Based on medical sectors with DEA-R model. Expert Systems with Applications, 38, 3155–3160.